Bell and Mermin inequalities in Quantum Field Theory from vacuum projectors and Weyl operators
The use of the vacuum projector |0〉〈0| and of the unitary Weyl operators enables us to construct a set of Hermitian dichotomic operators in relativistic scalar Quantum Field Theory in Minkowski spacetime. Employing test functions supported in diamond regions, both Bell and Mermin inequalities are st...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-08-01
|
| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321325001518 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850275049271984128 |
|---|---|
| author | M.S. Guimaraes I. Roditi S.P. Sorella A.F. Vieira |
| author_facet | M.S. Guimaraes I. Roditi S.P. Sorella A.F. Vieira |
| author_sort | M.S. Guimaraes |
| collection | DOAJ |
| description | The use of the vacuum projector |0〉〈0| and of the unitary Weyl operators enables us to construct a set of Hermitian dichotomic operators in relativistic scalar Quantum Field Theory in Minkowski spacetime. Employing test functions supported in diamond regions, both Bell and Mermin inequalities are studied by means of a numerical setup. In addition to reporting expressive violations of both inequalities, the cluster property is also checked. |
| format | Article |
| id | doaj-art-df5ade69c7c143d29cd56cf6b5dc2a4e |
| institution | OA Journals |
| issn | 0550-3213 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj-art-df5ade69c7c143d29cd56cf6b5dc2a4e2025-08-20T01:50:57ZengElsevierNuclear Physics B0550-32132025-08-01101711694210.1016/j.nuclphysb.2025.116942Bell and Mermin inequalities in Quantum Field Theory from vacuum projectors and Weyl operatorsM.S. Guimaraes0I. Roditi1S.P. Sorella2A.F. Vieira3UERJ, Universidade do Estado do Rio de Janeiro, Instituto de Física, Departamento de Física Teórica, Rua São Francisco Xavier 524, 20550-013, Maracanã, Rio de Janeiro, BrazilCBPF, Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, BrazilUERJ, Universidade do Estado do Rio de Janeiro, Instituto de Física, Departamento de Física Teórica, Rua São Francisco Xavier 524, 20550-013, Maracanã, Rio de Janeiro, Brazil; Corresponding author.UFRJ, Universidade Federal do Rio de Janeiro, Instituto de Física, RJ 21.941-972, BrazilThe use of the vacuum projector |0〉〈0| and of the unitary Weyl operators enables us to construct a set of Hermitian dichotomic operators in relativistic scalar Quantum Field Theory in Minkowski spacetime. Employing test functions supported in diamond regions, both Bell and Mermin inequalities are studied by means of a numerical setup. In addition to reporting expressive violations of both inequalities, the cluster property is also checked.http://www.sciencedirect.com/science/article/pii/S0550321325001518 |
| spellingShingle | M.S. Guimaraes I. Roditi S.P. Sorella A.F. Vieira Bell and Mermin inequalities in Quantum Field Theory from vacuum projectors and Weyl operators Nuclear Physics B |
| title | Bell and Mermin inequalities in Quantum Field Theory from vacuum projectors and Weyl operators |
| title_full | Bell and Mermin inequalities in Quantum Field Theory from vacuum projectors and Weyl operators |
| title_fullStr | Bell and Mermin inequalities in Quantum Field Theory from vacuum projectors and Weyl operators |
| title_full_unstemmed | Bell and Mermin inequalities in Quantum Field Theory from vacuum projectors and Weyl operators |
| title_short | Bell and Mermin inequalities in Quantum Field Theory from vacuum projectors and Weyl operators |
| title_sort | bell and mermin inequalities in quantum field theory from vacuum projectors and weyl operators |
| url | http://www.sciencedirect.com/science/article/pii/S0550321325001518 |
| work_keys_str_mv | AT msguimaraes bellandmermininequalitiesinquantumfieldtheoryfromvacuumprojectorsandweyloperators AT iroditi bellandmermininequalitiesinquantumfieldtheoryfromvacuumprojectorsandweyloperators AT spsorella bellandmermininequalitiesinquantumfieldtheoryfromvacuumprojectorsandweyloperators AT afvieira bellandmermininequalitiesinquantumfieldtheoryfromvacuumprojectorsandweyloperators |